Finding the Fourth Proportional to 10,462, 14,437.42 and 5,746.20

Step by Step Solution

1. Step 1: Write the proportion equation
   10,462 : 14,437.42 = 5,746.20 : x
2. Step 2: Convert to fraction form
   10,462/14,437.42 = 5,746.20/x
3. Step 3: Cross multiply
   10,462x = 14,437.42 × 5,746.20
4. Step 4: Simplify right side
   10,462x = 82,960,302.80
5. Step 5: Solve for x
   x = 82,960,302.80/10,462
6. Step 6: Final answer
   x = 7,929.68